Title :
Solving the heterogeneous positioning problem via eigen-decomposition
Author_Institution :
Nat. Cheng Kung Univ., Tainan
Abstract :
An eigen-decomposition approach to determine the position given a set of heterogeneous measurements is presented. It is shown that the methods based on time of arrival, time difference of arrival, and angle of arrival principles can all be cast in terms of quadratic equalities. In the two-dimensional case, all solutions to the simultaneous quadratic equations can be determined by solving an eigenvalue/eigenvector problem. An example is provided to illustrate the approach.
Keywords :
direction-of-arrival estimation; eigenvalues and eigenfunctions; mobile radio; time-of-arrival estimation; angle of arrival principle; difference of arrival principle; eigen-decomposition approach; eigenvalue problem; eigenvector problem; heterogeneous positioning problem; mobile radio; quadratic equation; time of arrival principle;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:20080080
